(1) A 102-patch three-dimensional (3D) Schmidt net (Section 2.1), which represents a new comprehensive classification system, is established to characterize rock fractures based on their orientation and aperture
3D Schmidt Net. Fracture orientation is a parameter that includes two variables: dip and dip direction.
The 3D Schmidt net is divided into 102 patches as shown in Figure 1, and the numbering of the patches is as follows:
Using cylindrical polar coordinates, any fracture with a dip, dip direction, and aperture can be uniquely plotted as a point in one of the 102 patches of the 3D Schmidt net. It should be noted that the aperture can be described by any classification method for different projects.
First, a 3D Schmidt net, which represents a new comprehensive classification system, is established to characterize rock fractures based on their orientation and aperture.
Caption: Figure 1: Example of a 3D Schmidt net with cylindrical polar coordinates.
Caption: Figure 3: Rotation diagram for the 3D Schmidt net.
To reduce the subjectivity of the patch orientations, each pair of 3D Schmidt nets is analyzed 18 times as the patch network is rotated from 0[degrees] to 180[degrees] in 10[degrees] increments  along the circumference, as shown in Figure 3.